Let the functions \(f: R \rightarrow R\) and \(g: R \rightarrow R\) be defined as: \[f(x)=\left\{\begin{array}{cc}x+2, &…

Let the functions \(f: R \rightarrow R\) and \(g: R \rightarrow R\) be defined as:
\[f(x)=\left\{\begin{array}{cc}x+2, & x<0 \\x^2, & x \geq 0\end{array} \text { and } g(x)=\left\{\begin{array}{cc}x^3, & x<1 \\3 x-2, & x \geq 1\end{array}\right.\right.\]

Then, the number of points in \(R\) where \((fog)(x)\) is NOT differentiable is equal to :

[JEE Main 2021, 16 Mar (Shift 1)]